Question

Find the angle which is supplementary to itself.

Answer 1

Compute the required angle:

Two angles are known as supplementary angles if their sum is ${180}^{\circ }$.

Suppose, $x$ be the angle that is supplementary to itself.

Therefore,

$\begin{array}{rcl}x+x& =& {180}^{\circ }\\ & \Rightarrow & 2x={180}^{\circ }\\ & \Rightarrow & x=\frac{{180}^{\circ }}{2}\\ & \Rightarrow & x={90}^{\circ }\end{array}$

Hence, the angle which is supplementary to itself is ${90}^{\circ }$.